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Finding the Fourth Proportional to 32,850.96, 45,632.20 and 32,342.20

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Solution

The fourth proportional to 32,850.96, 45,632.20 and 32,342.20 is: 44,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.96 : 45,632.20 = 32,342.20 : x
  2. Step 2: Convert to fraction form
    32,850.96/45,632.20 = 32,342.20/x
  3. Step 3: Cross multiply
    32,850.96x = 45,632.20 × 32,342.20
  4. Step 4: Simplify right side
    32,850.96x = 1,475,845,738.84
  5. Step 5: Solve for x
    x = 1,475,845,738.84/32,850.96
  6. Step 6: Final answer
    x = 44,925.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.